Commerce (English Medium) Class 11 - CBSE Question Bank Solutions

Mark the correct alternative in each of the following: 

In any ∆ABC, 2(bc cosA + ca cosB + ab cosC) = 

Mark the correct alternative in each of the following: 

In a triangle ABC, a = 4, b = 3, \[\angle A = 60°\]   then c is a root of the equation 

Mark the correct alternative in each of the following: 

In a ∆ABC, if  \[\left( c + a + b \right)\left( a + b - c \right) = ab\] then the measure of angle C is 

Mark the correct alternative in each of the following:

In any ∆ABC, the value of  \[2ac\sin\left( \frac{A - B + C}{2} \right)\]  is 

Mark the correct alternative in each of the following:

In any ∆ABC, \[a\left( b\cos C - c\cos B \right) =\]  

Find the value of `(1 + cos  pi/8)(1 + cos  (3pi)/8)(1 + cos  (5pi)/8)(1 + cos  (7pi)/8)`

If x cos θ = `y cos (theta + (2pi)/3) = z cos (theta + (4pi)/3)`, then find the value of xy + yz + zx.

If x = sec Φ – tan Φ and y = cosec Φ + cot Φ then show that xy + x – y + 1 = 0
[Hint: Find xy + 1 and then show that x – y = –(xy + 1)]

Which of the following do you feel are compatible with the idea of secularism? Give reasons.

(a) Absence of domination of one religious group by another.

(b) Recognition of a state religion.

(c) Equal state support to all religions.

(d) Mandatory prayers in schools.

(e) Allowing separate educational institutions for any minority community.

(f) Appointment of temple management bodies by the government.

(g) Intervention of state to ensure entry of Dalits in temples.

Why is it necessary for a country to have a clear demarcation of powers and responsibilities in the constitution? What would happen in the absence of such a demarcation?

Do you agree with the following statement? Give reasons for supporting or opposing it.

Secularism does not allow us to have a religious identity.

Do you agree with the following statement? Give reasons for supporting or opposing it.

Secularism is against inequality within a religious group or between different religious groups.

Do you agree with the following statement? Give reasons for supporting or opposing it.

Secularism has a western-Christian origin. It is not suitable for India.

Write true or false against the following statement:
The Constitution guarantees remedy against violation of Rights.

Which of the following is a correct interpretation of the Cultural and Educational Rights?

A petition by a human rights group drew attention of the court to the condition of starvation and hunger in the country. Over five crore tonnes of food grains was stored in the godowns of the Food Corporation of India. Research shows that a large number of ration cardholders do not know about the quantity of food grains they can purchase from fair price shops. It requested the court to order the government to improve its public distribution system.

a. Which different rights does this case involve? How are these rights interlinked?
b. Should these rights form part of the right to life?

Read the statement by Somnath Lahiri in the Constitutent Assembly quoted in this chapter. Do you agree with him? If yes, give instances to prove it. If not, give arguments against his position.

Which of the following resembles most a direct democracy?

a. Discussions in a family meeting
b. Election of the class monitor
c. Choice of a candidate by a political party
d. Decisions taken by the Gram Sabha
e. Opinion polls conducted by the media

In the First Past the Post system, that candidate is declared winner who: